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Finding the Fourth Proportional to 18,877.86, 28,314.02 and 10,984.14

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Solution

The fourth proportional to 18,877.86, 28,314.02 and 10,984.14 is: 16,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,877.86 : 28,314.02 = 10,984.14 : x
  2. Step 2: Convert to fraction form
    18,877.86/28,314.02 = 10,984.14/x
  3. Step 3: Cross multiply
    18,877.86x = 28,314.02 × 10,984.14
  4. Step 4: Simplify right side
    18,877.86x = 311,005,187.10
  5. Step 5: Solve for x
    x = 311,005,187.10/18,877.86
  6. Step 6: Final answer
    x = 16,474.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.